We have designed and built a highly monochromatic 24 keV neutron beam at the Kansas State University Triga Mark-II reactor, as part of an experimental effort to demonstrate sensitivity in a large-mass detector to the ultra-low energy recoils expected from coherent neutrino-nucleus elastic scattering. The beam characteristics were chosen so as to mimic the soft recoil energies expected from reactor antineutrinos in a variety of targets, allowing to understand the response of dedicated detector technologies in this yet unexplored sub-keV recoil range. A full characterization of the beam properties (intensity, monochromaticity, contaminations, beam profile) is presented, together with first tests of the calibration facility using proton recoils in organic scintillator. © 2007 Elsevier B.V. All rights reserved.